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Table 19 The convergence order for R-ADI-CFDS4 at \(\tau = 0.0001\)

From: A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Spatial step size

Maximum error

Convergence order

\({h_{x}}= {h_{y}} =0.2\pi \)

1.3969e − 04

 

\({h_{x}} ={h_{y}} = 0.1\pi \)

9.5413e − 06

3.8719

\({h_{x}}= {h_{y}} = 0.05\pi \)

5.9914e − 07

3.9932

\({h_{x}} = {h_{y}} =0.025\pi \)

4.1990e − 08

3.8348